An inequality related to Minkowski type for Sugeno integrals

Authors:
Yao Ouyang;Radko Mesiar;Hamzeh Agahi
Affiliations:
Faculty of Science, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, SK-81368 Bratislava, Slovakia and Institute for Research and Applications of Fuzz ...;Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran
Venue:
Information Sciences: an International Journal
Year:
2010

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Abstract

An inequality related to Minkowski type for the Sugeno integral on abstract spaces is studied in a rather general form. Some previous results on Chebyshev type inequality obtained by the authors are generalized. Several examples are given to illustrate the validity of this inequality. The conditions such that this inequality becomes an equality are also discussed. Finally, conclusions and some problems for further investigations are included.